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A review of 2.5 dimensional seismic modeling methods:Acoustic case

Jianguo Sun

Progress in geophysics, 2009

Abstract

The purpose of this paper is to review the published work related to acoustic modeling of seismic waves,with the aims of finding unsolved problems and of giving possible ways for treating the problems.By definition,2.5D modeling problem is a special case in 3D modeling problems and has the following features:(1) the physical parameters remain unchanged along the strike direction;(2) the source possesses a spherical symmetry;and(3) both the sources and the receivers are located along a line perpendicular to the strike.Different from 3D modeling,a 2.5D modeling consists of two parts:(1) numerical analysis of the corresponding partial differential equation in the plane perpendicular to the strike(computation plane),this is in principle a 2D problem;and(2) including the influence of the out-of-plane direction on the wavefield by using integral transform or by using other methods,this actually transforms a special 3D problem into the superposition of infinitely many(for continuous cases) or finitely many(for discrete cases) of 2D problems.In comparison to 2D models,2.5D models can give accurate amplitude information of seismic waves in the computation plane.Since the acoustic model is used as the basic data model in reflection seismic imaging,it is of importance to investigate 2.5D acoustic modeling methods.According to the method used for treating the propagation in the out-of-plane direction,the 2.5D acoustic modeling methods appeared in the literature so far can be classified…

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